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We study the problem of designing optimal auctions under restrictions on the set of permissible allocations. In addition to allowing us to restrict to deterministic mechanisms, we can also indirectly model non-additive valuations. We prove…

Computer Science and Game Theory · Computer Science 2016-06-07 Ian Kash , Rafael Frongillo

We study the equilibria of uniform price auctions where many asymmetric bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds an equilibrium outcome as well as an…

Theoretical Economics · Economics 2026-04-09 Kiho Yoon

We provide a Polynomial Time Approximation Scheme (PTAS) for the Bayesian optimal multi-item multi-bidder auction problem under two conditions. First, bidders are independent, have additive valuations and are from the same population.…

Computer Science and Game Theory · Computer Science 2012-11-06 Yang Cai , Zhiyi Huang

In many natural settings agents participate in multiple different auctions that are not simultaneous. In such auctions, future opportunities affect strategic considerations of the players. The goal of this paper is to develop a quantitative…

Computer Science and Game Theory · Computer Science 2012-06-22 Vasilis Syrgkanis , Eva Tardos

We study two standard multi-unit auction formats for allocating multiple units of a single good to multi-demand bidders. The first one is the Discriminatory Auction, which charges every winner his winning bids. The second is the Uniform…

Computer Science and Game Theory · Computer Science 2016-05-02 Bart de Keijzer , Evangelos Markakis , Guido Schäfer , Orestis Telelis

In this paper, we introduce a novel approach for reducing the $k$-item $n$-bidder auction with additive valuation to $k$-item $1$-bidder auctions. This approach, called the \emph{Best-Guess} reduction, can be applied to address several…

Computer Science and Game Theory · Computer Science 2014-06-24 Andrew Chi-Chih Yao

We show that the multiplicative weight update method provides a simple recipe for designing and analyzing optimal Bayesian Incentive Compatible (BIC) auctions, and reduces the time complexity of the problem to pseudo-polynomial in…

Computer Science and Game Theory · Computer Science 2013-04-12 Anand Bhalgat , Sreenivas Gollapudi , Kamesh Munagala

We consider the sample complexity of revenue maximization for multiple bidders in unrestricted multi-dimensional settings. Specifically, we study the standard model of $n$ additive bidders whose values for $m$ heterogeneous items are drawn…

Computer Science and Game Theory · Computer Science 2021-04-13 Yannai A. Gonczarowski , S. Matthew Weinberg

We investigate \emph{bi-valued} auctions in the digital good setting and construct an explicit polynomial time deterministic auction. We prove an unconditional tight lower bound which holds even for random superpolynomial auctions. The…

Data Structures and Algorithms · Computer Science 2011-06-24 Oren Ben-Zwi , Ilan Newman

In this paper, we study how a budget-constrained bidder should learn to bid adaptively in repeated first-price auctions to maximize cumulative payoff. This problem arises from the recent industry-wide shift from second-price auctions to…

Computer Science and Game Theory · Computer Science 2026-04-14 Yige Wang , Jiashuo Jiang

We study fair resource allocation with strategic agents. It is well-known that, across multiple fundamental problems in this domain, truthfulness and fairness are incompatible. For example, when allocating indivisible goods, no truthful and…

Computer Science and Game Theory · Computer Science 2024-05-20 Vasilis Gkatzelis , Alexandros Psomas , Xizhi Tan , Paritosh Verma

In this work we consider selling items using a sequential first price auction mechanism. We generalize the assumption of conservative bidding to extensive form games (henceforth optimistic conservative bidding), and show that for both…

Computer Science and Game Theory · Computer Science 2015-02-02 Avinatan Hassidim , Yishay Mansour

We experimentally evaluate the comparative performance of the winner-bid, average-bid, and loser-bid auctions for the dissolution of a partnership. The analysis of these auctions based on the empirical equilibrium refinement of Velez and…

General Economics · Economics 2020-07-15 Alexander L. Brown , Rodrigo A. Velez

We study the communication complexity of incentive compatible auction-protocols between a monopolist seller and a single buyer with a combinatorial valuation function over $n$ items. Motivated by the fact that revenue-optimal auctions are…

Computer Science and Game Theory · Computer Science 2021-04-26 Aviad Rubinstein , Junyao Zhao

This paper proposes a simple descriptive model of discrete-time double auction markets for divisible assets. As in the classical models of exchange economies, we consider a finite set of agents described by their initial endowments and…

Theoretical Economics · Economics 2021-01-07 Teemu Pennanen

We address auctions in two-sided markets with budget constraints on buyers, a fundamental setting also crucial for applications such as display advertising. Our goal is to design efficient mechanisms that satisfy dominant strategy incentive…

Computer Science and Game Theory · Computer Science 2024-11-05 Ryosuke Sato

We study revenue maximization in multi-item auctions, where bidders have subadditive valuations over independent items. Providing a simple mechanism that is approximately revenue-optimal in this setting is a major open problem in mechanism…

Computer Science and Game Theory · Computer Science 2023-10-13 Yang Cai , Ziyun Chen , Jinzhao Wu

The first-price auction is popular in practice for its simplicity and transparency. Moreover, its potential virtues grow in complex settings where incentive compatible auctions may generate little or no revenue. Unfortunately, the…

Computer Science and Game Theory · Computer Science 2013-04-30 Darrell Hoy , Kamal Jain , Christopher A. Wilkens

In economics, there are many ways to describe the interaction between a "seller" and a "buyer". The most common one, with which we interact almost every day, is selling for a fixed price. This option is perfect for selling a mass product,…

General Finance · Quantitative Finance 2024-07-10 O. A. Malafeyev , I. E. Khomenko

We study independent private values auction environments in which the auctioneer's revenue depends nonlinearly on bidders' interim winning probabilities. Our framework accommodates heterogeneity among bidders and places no ad hoc…

Theoretical Economics · Economics 2026-02-23 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev